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Associated Primes of (Non-Standard) Multigraded Modules

✍ Scribed by Colomé-Nin, Gemma


Book ID
120618165
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
341 KB
Volume
41
Category
Article
ISSN
0092-7872

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📜 SIMILAR VOLUMES


Primes associated to multigraded modules
✍ Eric West 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 308 KB

Let R = n∈N t R n be a Noetherian multigraded ring, and let M be a finitely generated multigraded R-module. We investigate the asymptotic behavior of Ass R 0 (M n ). In case R is generated in total degree one, we show that the expected stability occurs. We also consider several non-standard cases. F

Cofiniteness and associated primes of lo
✍ Thomas Marley; Janet C. Vassilev 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 133 KB

Let R be a d-dimensional regular local ring, I an ideal of R, and M a finitely generated R-module of dimension n. We prove that the set of associated primes of Ext i R (R/I, H j I (M)) is finite for all i and j in the following cases: (a) dim M 3; (b) dim R 4; (c) dim M/I M 2 and M satisfies Serre's